SPC 407Supersonic & Hypersonic Fluid Dynamics

Lecture 4October 23, 2016

Sep. 18, 2016

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Isentropic flow inside a nozzle/ diffuser Equation Summary and tables

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Normal ShockwaveConsider the steady flow of a fluid through a duct such as a nozzle, diffuser, or some other flow passage where the flow takes place adiabatically and with no shaft or electrical work, as shown in Fig

Assuming the fluid experiences little or no change in its elevation

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Governing EquationsConservation of mass::

Or

Conservation of energy:

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Governing EquationsLinear momentum equation:

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Governing EquationsLinear momentum equation:

Second Law of Thermodynamic

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Governing EquationsFrom previous lecture:

So

Dividing the first equation by the second one and noting that ,we have

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Governing EquationsFrom the ideal-gas equation of state,

The pressure ratio across the shock

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Governing Equationsby combining the conservation of mass and momentum equations

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Normal Shockwave Equation Summary and tables

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Example: Shock Wave in a Converging–Diverging Nozzle

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Example: Shockwave in a Converging–Diverging Nozzle

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Example: Shock Wave in a Converging–Diverging Nozzle

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Example: Shock Wave in a Converging–Diverging Nozzle

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Oblique Shockwave

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